Details

Time bar (total: 10.5s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
99.7%0%0.3%1

sample174.0ms

Algorithm
intervals
Results
67.0ms56×body2560valid
49.0ms72×body1280valid
21.0ms39×body640valid
7.0ms63×body80valid
6.0ms19×body320valid
3.0ms1×body5120valid
1.0ms6×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
077127
177127

prune17.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 45.1b

Counts
2 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

2.7b
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
2.8b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
34.6b
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
34.6b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
14×pow1
10×associate-*r/ prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
4×frac-times flip3-+ associate-*l/ flip-+ add-log-exp
2×cbrt-undiv div-exp associate-*r* *-commutative
Counts
4 → 64
Calls
4 calls:
8.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
9.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
3.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
3.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
10.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
15.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

simplify23.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
05071934

prune283.0ms

Filtered
54 candidates to 76 candidates (-40.7%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New581876
Fresh011
Picked101
Done000
Total591978

Merged error: 40.2b

Counts
78 → 19

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 1.0 (* 2.0 a)) (/ b 16.0))
0.2b
(* x (* 1 (cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))))
2.7b
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
34.6b
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
23×add-cbrt-cube
19×add-sqr-sqrt
16×pow1
15×associate-*r*
14×add-cube-cbrt *-un-lft-identity
12×prod-exp
10×times-frac cbrt-unprod
9×associate-*l*
7×associate-*r/ pow-prod-down
4×frac-times flip3-+ associate-*l/ flip-+ add-log-exp
3×*-commutative
2×cbrt-undiv div-exp unswap-sqr
1×1-exp div-inv
Counts
4 → 87
Calls
4 calls:
7.0ms
(* (+ 1.0 (* 2.0 a)) (/ b 16.0))
6.0ms
(* x (* 1 (cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))))
8.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
3.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (+ 1.0 (* 2.0 a)) (/ b 16.0))
22.0ms
(* x (* 1 (cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))))
11.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
10.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

simplify39.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
053491203

prune361.0ms

Filtered
70 candidates to 99 candidates (-41.4%)
Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New782199
Fresh41418
Picked101
Done000
Total8335118

Merged error: 38.7b

Counts
118 → 35

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(* (cbrt t) (cbrt t))
1.4b
(* (+ 1.0 (* 2.0 a)) (* (/ b 16.0) (cbrt t)))
34.5b
(cos (* (* (cbrt t) (cbrt t)) (* (+ 1.0 (* 2.0 a)) (* (/ b 16.0) (cbrt t)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×cbrt-prod
16×pow1
15×add-exp-log
14×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
9×associate-*l*
7×pow1/3 associate-*r*
6×swap-sqr prod-exp cbrt-unprod
5×pow-prod-down associate-*l/
4×add-log-exp unswap-sqr
2×frac-times flip3-+ pow-sqr *-commutative pow-prod-up flip-+
1×cbrt-undiv pow2 pow-plus associate-*r/ div-exp
Counts
4 → 83
Calls
4 calls:
1.0ms
(cbrt t)
5.0ms
(* (cbrt t) (cbrt t))
8.0ms
(* (+ 1.0 (* 2.0 a)) (* (/ b 16.0) (cbrt t)))
5.0ms
(cos (* (* (cbrt t) (cbrt t)) (* (+ 1.0 (* 2.0 a)) (* (/ b 16.0) (cbrt t)))))

series88.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
23.0ms
(* (cbrt t) (cbrt t))
30.0ms
(* (+ 1.0 (* 2.0 a)) (* (/ b 16.0) (cbrt t)))
13.0ms
(cos (* (* (cbrt t) (cbrt t)) (* (+ 1.0 (* 2.0 a)) (* (/ b 16.0) (cbrt t)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04966790
14966790

prune401.0ms

Filtered
63 candidates to 95 candidates (-50.8%)
Pruning

45 alts after pruning (44 fresh and 1 done)

PrunedKeptTotal
New791695
Fresh62834
Picked011
Done000
Total8545130

Merged error: 38.2b

Counts
130 → 45

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt t))
0.6b
(cbrt (cbrt t))
1.4b
(* (+ 1.0 (* 2.0 a)) (* (/ b 16.0) (* (pow (cbrt (cbrt t)) 2) (cbrt (cbrt t)))))
34.5b
(cos (* (* (cbrt t) (cbrt t)) (* (+ 1.0 (* 2.0 a)) (* (/ b 16.0) (* (pow (cbrt (cbrt t)) 2) (cbrt (cbrt t)))))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
23×prod-exp
20×add-cbrt-cube
18×cbrt-prod
11×cbrt-unprod
9×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l/
4×div-exp add-log-exp
3×associate-*l* pow-prod-down
2×cbrt-undiv frac-times pow-to-exp flip3-+ pow1/3 pow-exp flip-+
1×associate-*r/ associate-*r* *-commutative
Counts
4 → 68
Calls
4 calls:
2.0ms
(cbrt (cbrt t))
2.0ms
(cbrt (cbrt t))
14.0ms
(* (+ 1.0 (* 2.0 a)) (* (/ b 16.0) (* (pow (cbrt (cbrt t)) 2) (cbrt (cbrt t)))))
6.0ms
(cos (* (* (cbrt t) (cbrt t)) (* (+ 1.0 (* 2.0 a)) (* (/ b 16.0) (* (pow (cbrt (cbrt t)) 2) (cbrt (cbrt t)))))))

series104.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (cbrt t))
29.0ms
(cbrt (cbrt t))
32.0ms
(* (+ 1.0 (* 2.0 a)) (* (/ b 16.0) (* (pow (cbrt (cbrt t)) 2) (cbrt (cbrt t)))))
13.0ms
(cos (* (* (cbrt t) (cbrt t)) (* (+ 1.0 (* 2.0 a)) (* (/ b 16.0) (* (pow (cbrt (cbrt t)) 2) (cbrt (cbrt t)))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05060808

prune101.0ms

Filtered
47 candidates to 80 candidates (-70.2%)
Pruning

51 alts after pruning (49 fresh and 2 done)

PrunedKeptTotal
New73780
Fresh14243
Picked011
Done011
Total7451125

Merged error: 38.1b

Counts
125 → 51

regimes3.0s

Accuracy

0% (6.0b remaining)

Error of 45.9b against oracle of 39.8b and baseline of 45.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03228
13228

end0.0ms

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
99.7%0%0.3%1

sample5.4s

Algorithm
intervals
Results
2.3s1811×body2560valid
1.7s2338×body1280valid
580.0ms1190×body640valid
214.0ms1832×body80valid
181.0ms528×body320valid
71.0ms25×body5120valid
67.0ms276×body160valid

Profiling

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